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current location:Mathematical operation > History of Inequality Computation > Answer
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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 1.25 = (950+1.19x1+1.335x2)/(750+x1+x2) .
    Question type: Equation
    Solution:Original question:
     
5
4
= (950 +
119
100
x × 1 +
267
200
x × 2) ÷ (750 + x × 1 + x × 2)
     Multiply both sides of the equation by:(750 + x × 1 + x × 2)
     
5
4
(750 + x × 1 + x × 2) = (950 +
119
100
x × 1 +
267
200
x × 2)
    Remove a bracket on the left of the equation::
     
5
4
× 750 +
5
4
x × 1 +
5
4
x × 2 = (950 +
119
100
x × 1 +
267
200
x × 2)
    Remove a bracket on the right of the equation::
     
5
4
× 750 +
5
4
x × 1 +
5
4
x × 2 = 950 +
119
100
x × 1 +
267
200
x × 2
    The equation is reduced to :
     
1875
2
+
5
4
x +
5
2
x = 950 +
119
100
x +
267
100
x
    The equation is reduced to :
     
1875
2
+
15
4
x = 950 +
193
50
x

    Transposition :
     
15
4
x
193
50
x = 950
1875
2

    Combine the items on the left of the equation:
      -
11
100
x = 950
1875
2

    Combine the items on the right of the equation:
      -
11
100
x =
25
2

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
25
2
=
11
100
x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
11
100
x = -
25
2

    The coefficient of the unknown number is reduced to 1 :
      x = -
25
2
÷
11
100
        = -
25
2
×
100
11
        = - 25 ×
50
11

    We obtained :
      x = -
1250
11
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 113.636364




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